What Is an Angle?

Mathematics · Geometry and Spatial Reasoning · Grades 3–5

Meaning at a glance

An angle is the amount of turn between two lines that meet at a point, measured in degrees.

Also searched as: angles, right angle, degrees.

Understand it simply

Two straight lines that meet at a point make an angle. The point is called the vertex. The more the lines open apart, the bigger the angle.

We measure angles in degrees, written with a small circle: 90°. A right angle is 90°, like the corner of a book. An angle smaller than a right angle is acute. An angle bigger than a right angle (but less than a straight line) is obtuse.

See it work

Here are three angles. The blue mark shows the turn between the two lines.

40 degrees: acute90 degrees: right130 degrees: obtuse
Acute is less than 90 degrees. Right is exactly 90 degrees. Obtuse is more than 90 degrees.

Avoid this confusion

Longer lines do not mean a bigger angle. An angle measures how far apart the lines turn, not how long they are drawn. Two angles of 60° are equal even if one has longer arms.

Try it yourself

Work these out first, then check your answers below.

  1. How many degrees are in a right angle?

  2. Is an angle of 45° acute, right or obtuse?

  3. One angle of 60° has arms 5 cm long. Another angle of 60° has arms 10 cm long. Which angle is bigger?

Check your understanding

Show the answer to question 1

Answer: 90 degrees

A right angle is a quarter turn, which is 90°. The corner of a page is a right angle.

Show the answer to question 2

Answer: Acute.

45° is smaller than 90°, so it is acute.

Show the answer to question 3

Answer: Neither. They are equal.

The size of an angle depends on the turn between the lines, not on their length.

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This explanation was written from Courseversity lesson content (see the lessons above). An outside reference check is still on the editorial to-do list.

Written by: Courseversity editorial team (AI-assisted draft).

Review status: checked against the sources above. Educator review is pending, so please tell us if anything looks wrong.

Last updated: 27 October 2026.

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